{
  "id": "1509.06286",
  "version": "v1",
  "published": "2015-09-21T16:10:31.000Z",
  "updated": "2015-09-21T16:10:31.000Z",
  "title": "There is no strongly regular graph with parameters (460,153,32,60)",
  "authors": [
    "A. V. Bondarenko",
    "A. Mellit",
    "A. Prymak",
    "D. Radchenko",
    "M. Viazovska"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that there is no strongly regular graph (SRG) with parameters (460,153,32,60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T16:10:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C50"
    ],
    "keywords": [
      "strongly regular graph",
      "parameters",
      "lower bound",
      "euclidean representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906286B"
    }
  }
}